Originally Posted by NateTheGreat
The Shadow cast by a vertical pillar in Alexandria at noon during the summer solstice is found to be 1/8 the height of the pillar. The distance between Alexandria and Syene is 1/8 the Earth's radius. Is there a geometric connection between these two 1-to-8 ratios?
Hi NateTheGreat! Welcome to PF!
You've left out that at noon during the summer solstice, the sun at Syene is directly overhead
(I know that 'cos this is a well-known experiment by Eratosthenes in about 200 BC )
Does that help?